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1118805445696 = 26109212132
BaseRepresentation
bin10000010001111110000…
…000000100110001000000
310221221211110211101112111
4100101332000010301000
5121312303143230241
62213545551305104
7143555020243561
oct20217600046100
93857743741474
101118805445696
113a1534563754
121609b981b194
138166cb47333
143c216c7a168
151e181909c81
hex1047e004c40

1118805445696 has 63 divisors (see below), whose sum is σ = 2242533329631. Its totient is φ = 553813645824.

The previous prime is 1118805445691. The next prime is 1118805445711. The reversal of 1118805445696 is 6965445088111.

The square root of 1118805445696 is 1057736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 153569934400 + 965235511296 = 391880^2 + 982464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1118805445696.

It is not an unprimeable number, because it can be changed into a prime (1118805445691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 922345186 + ... + 922346398.

It is an arithmetic number, because the mean of its divisors is an integer number (35595767137).

Almost surely, 21118805445696 is an apocalyptic number.

1118805445696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1118805445696 is the 1057736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1118805445696

1118805445696 is an abundant number, since it is smaller than the sum of its proper divisors (1123727883935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1118805445696 is an frugal number, since it uses more digits than its factorization.

1118805445696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 58.

The spelling of 1118805445696 in words is "one trillion, one hundred eighteen billion, eight hundred five million, four hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1213 1744 2426 3488 4852 6976 9704 11881 19408 23762 38816 47524 77632 95048 132217 190096 264434 380192 528868 760384 1057736 1471369 2115472 2942738 4230944 5885476 8461888 11770952 14411653 23541904 28823306 47083808 57646612 94167616 115293224 160379221 230586448 320758442 461172896 641516884 922345792 1283033768 2566067536 5132135072 10264270144 17481335089 34962670178 69925340356 139850680712 279701361424 559402722848 1118805445696